{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Thermal Transport from HNEMD\n",
    "# 1. Introduction\n",
    "- In this tutorial, we use the HNEMD method to study heat transport in graphene at 300 K and zero pressure. Here we consider the diffusive regime. The ballistic regime can be found in the NEMD example. The spectral decomposition method as described in [[Fan 2019]](https://doi.org/10.1103/PhysRevB.99.064308) is used here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Importing Relevant Functions\n",
    "- The inputs/outputs for GPUMD are processed using the [Atomic Simulation Environment (ASE)](https://wiki.fysik.dtu.dk/ase/) and the [thermo](https://github.com/AlexGabourie/thermo) package."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pylab import *\n",
    "from ase.build import graphene_nanoribbon\n",
    "from thermo.gpumd.preproc import add_group_by_position\n",
    "from thermo.gpumd.io import ase_atoms_to_gpumd\n",
    "from thermo.gpumd.data import load_kappa, load_shc\n",
    "from thermo.gpumd.calc import running_ave, hnemd_spectral_kappa"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2. Preparing the Inputs\n",
    "- We consider a graphene sheet of size of about 25 nm x 25 nm (24000 atoms). The transport is in the $y$ direction. We divide the length in the $y$ direction into 2 groups, with 4000 atoms in group 0 and 20000 atoms in group 1\n",
    "- We use a Tersoff potential [[Tersoff 1989]](https://doi.org/10.1103/PhysRevB.39.5566) parameterized by Lindsay *et al.* [[Lindsay 2010]](https://journals.aps.org/prb/abstract/10.1103/PhysRevB.81.205441).\n",
    "\n",
    "## Generate the  [xyz.in](https://gpumd.zheyongfan.org/index.php/The_xyz.in_input_file) file:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Atoms(symbols='C24000', pbc=[True, True, False], cell=[245.95121467478057, 255.6, 3.35])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gnr = graphene_nanoribbon(100, 60, type='armchair', sheet=True, vacuum=3.35/2)\n",
    "gnr.euler_rotate(theta=90)\n",
    "l = gnr.cell.lengths()\n",
    "gnr.cell = gnr.cell.new((l[0], l[2], l[1]))\n",
    "l = l[2]\n",
    "gnr.center()\n",
    "gnr.pbc = [True, True, False]\n",
    "gnr"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Add Groups"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Atoms per group: [4000, 20000]\n",
      "Total atoms: 24000\n"
     ]
    }
   ],
   "source": [
    "Ly = 3*1.42*10\n",
    "split = [0, Ly, 255.6]\n",
    "ncounts = add_group_by_position(split, gnr, direction='y')\n",
    "print(\"Atoms per group:\", ncounts)\n",
    "print(\"Total atoms:\", sum(ncounts))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "ase_atoms_to_gpumd(gnr, M=3, cutoff=2.1, sort_key='group', order=[0, 1], group_index=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The <code>run.in</code> file:\n",
    "The <code>run.in</code> input file is given below:<br>\n",
    "```\n",
    "potential    potentials/tersoff/Graphene_Lindsay_2010_modified.txt 0\n",
    "velocity     300\n",
    "\n",
    "ensemble     nvt_nhc 300 300 100\n",
    "time_step    1 \n",
    "dump_thermo  1000        \n",
    "run          1000000\n",
    "\n",
    "ensemble      nvt_nhc 300 300 100\n",
    "compute_hnemd 1000 0 0.00001 0\n",
    "compute_shc   2 250 1 1000 400.0 group 0 0\n",
    "run           10000000\n",
    "```\n",
    "- The first line uses the [potential](https://gpumd.zheyongfan.org/index.php/The_potential_keyword) keyword to define the potential to be used, which is specified in the file [Graphene_Lindsay_2010_modified.txt](https://github.com/brucefan1983/GPUMD/blob/master/potentials/tersoff/Graphene_Lindsay_2010_modified.txt).\n",
    "\n",
    "- The second line uses the [velocity](https://gpumd.zheyongfan.org/index.php/The_velocity_keyword) keyword and sets the velocities to be initialized with a temperature of 300 K.  \n",
    "\n",
    "- There are two runs. The first [run](https://gpumd.zheyongfan.org/index.php/The_run_keyword) serves as the equilibration stage.\n",
    "  - Here, the NVT [ensemble](https://gpumd.zheyongfan.org/index.php/The_ensemble_keyword) (the Nose-Hoover chain thermostat) is used. The target temperature is 300 K and the thermostat coupling constant is 0.1 ps (100 time steps). \n",
    "  - The [time_step](https://gpumd.zheyongfan.org/index.php/The_time_step_keyword) for integration is 1 fs. \n",
    "  - The thermodynamic quantities will be output every 1000 steps. \n",
    "  - There are $10^6$ steps (1 ns) for this run. \n",
    "- The second [run](https://gpumd.zheyongfan.org/index.php/The_run_keyword) is for production. \n",
    "  - Here, the global temperature is controlled by the Nose-Hoover chain thermostat ([ensemble](https://gpumd.zheyongfan.org/index.php/The_ensemble_keyword)) with the same parameters as in the equilibration stage.\n",
    "  - The [compute_hnemd](https://gpumd.zheyongfan.org/index.php/The_compute_hnemd_keyword) is used to add a driving force and compute the thermal conductivity using the HNEMD method [[Fan 2019]](https://doi.org/10.1103/PhysRevB.99.064308). Here, the conductivity data will be averaged for each 1000 steps before written out, and the driving force parameter is $10^{-5}$ A<sup>-1</sup> and is in the $y$ direction. \n",
    "  - The line with the [compute_shc](https://gpumd.zheyongfan.org/index.php/The_compute_shc_keyword) keyword is used to compute the spectral heat current (SHC). The SHC will be calculated for group <code>0</code> in grouping method <code>0</code>. The relevant data will be sampled every 2 steps and the maximum correlation time is $250 \\times 2 \\times 1~{\\rm fs} = 500~{\\rm fs}$. The transport directions is <code>1</code> ($y$ direction). The number of frequency points is 1000 and the maximum angular frequncy is 400 THz.\n",
    "  - There are $10^7$ steps (10 ns) in the production [run](https://gpumd.zheyongfan.org/index.php/The_run_keyword). This is just an example. To get more accurate results, we suggest you use $2 \\times 10^7$ steps (20 ns) and do a few independent runs and then average the relevant data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3. Results and Discussion\n",
    "### Computation Time\n",
    "- Using a laptop with a GeForce RTX 2070 GPU, the NEMD simulation takes about 2.5 hours."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Figure Properties"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "aw = 2\n",
    "fs = 16\n",
    "font = {'size'   : fs}\n",
    "matplotlib.rc('font', **font)\n",
    "matplotlib.rc('axes' , linewidth=aw)\n",
    "\n",
    "def set_fig_properties(ax_list):\n",
    "    tl = 8\n",
    "    tw = 2\n",
    "    tlm = 4\n",
    "    \n",
    "    for ax in ax_list:\n",
    "        ax.tick_params(which='major', length=tl, width=tw)\n",
    "        ax.tick_params(which='minor', length=tlm, width=tw)\n",
    "        ax.tick_params(which='both', axis='both', direction='in', right=True, top=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot HNEMD Results\n",
    " - The [kappa.out](https://gpumd.zheyongfan.org/index.php/The_kappa.out_output_file) output file is loaded and processed to create the following figure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['kxi', 'kxo', 'kyi', 'kyo', 'kz'])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kappa = load_kappa()\n",
    "kappa.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "t = np.arange(1,kappa['kxi'].shape[0]+1)*0.001  # ns\n",
    "kappa['kyi_ra'] = running_ave(kappa['kyi'],t)\n",
    "kappa['kyo_ra'] = running_ave(kappa['kyo'],t)\n",
    "kappa['kxi_ra'] = running_ave(kappa['kxi'],t)\n",
    "kappa['kxo_ra'] = running_ave(kappa['kxo'],t)\n",
    "kappa['kz_ra'] = running_ave(kappa['kz'],t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(12,10))\n",
    "subplot(2,2,1)\n",
    "set_fig_properties([gca()])\n",
    "plot(t, kappa['kyi'],color='C7',alpha=0.5)\n",
    "plot(t, kappa['kyi_ra'], linewidth=2)\n",
    "xlim([0, 10])\n",
    "gca().set_xticks(range(0,11,2))\n",
    "ylim([-2000, 4000])\n",
    "gca().set_yticks(range(-2000,4001,1000))\n",
    "xlabel('time (ns)')\n",
    "ylabel(r'$\\kappa_{in}$ W/m/K')\n",
    "title('(a)')\n",
    "\n",
    "subplot(2,2,2)\n",
    "set_fig_properties([gca()])\n",
    "plot(t, kappa['kyo'],color='C7',alpha=0.5)\n",
    "plot(t, kappa['kyo_ra'], linewidth=2, color='C3')\n",
    "xlim([0, 10])\n",
    "gca().set_xticks(range(0,11,2))\n",
    "ylim([0, 4000])\n",
    "gca().set_yticks(range(0,4001,1000))\n",
    "xlabel('time (ns)')\n",
    "ylabel(r'$\\kappa_{out}$ (W/m/K)')\n",
    "title('(b)')\n",
    "\n",
    "subplot(2,2,3)\n",
    "set_fig_properties([gca()])\n",
    "plot(t, kappa['kyi_ra'], linewidth=2)\n",
    "plot(t, kappa['kyo_ra'], linewidth=2, color='C3')\n",
    "plot(t, kappa['kyi_ra']+kappa['kyo_ra'], linewidth=2, color='k')\n",
    "xlim([0, 10])\n",
    "gca().set_xticks(range(0,11,2))\n",
    "ylim([0, 4000])\n",
    "gca().set_yticks(range(0,4001,1000))\n",
    "xlabel('time (ns)')\n",
    "ylabel(r'$\\kappa$ (W/m/K)')\n",
    "legend(['in', 'out', 'total'])\n",
    "title('(c)')\n",
    "\n",
    "\n",
    "subplot(2,2,4)\n",
    "set_fig_properties([gca()])\n",
    "plot(t, kappa['kyi_ra']+kappa['kyo_ra'],color='k', linewidth=2)\n",
    "plot(t, kappa['kxi_ra']+kappa['kxo_ra'], color='C0', linewidth=2)\n",
    "plot(t, kappa['kz_ra'], color='C3', linewidth=2)\n",
    "xlim([0, 10])\n",
    "gca().set_xticks(range(0,11,2))\n",
    "ylim([0, 4000])\n",
    "gca().set_yticks(range(-2000,4001,1000))\n",
    "xlabel('time (ns)')\n",
    "ylabel(r'$\\kappa$ (W/m/K)')\n",
    "legend(['yy', 'xy', 'zy'])\n",
    "title('(d)')\n",
    "\n",
    "tight_layout()\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**(a)** In-plane thermal conductivity $\\kappa_{\\rm in}(t)$ as a function of production time. **(b)** Out-of-plane thermal conductivity $\\kappa_{\\rm out}(t)$ as a function of production time. **(c)** In-plane, out-of-plane, and total thermal conductivity as a function of production time. **(d)** Comparing $\\kappa_{yy}$, $\\kappa_{xy}$, and $\\kappa_{zy}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- (a) The gray line represents the instant in-plane thermal conductivity $\\kappa_{\\rm in}(t)$ from the [kappa.out](https://gpumd.zheyongfan.org/index.php/The_kappa.out_output_file) file. The dashed line represents the cumulative time average:\n",
    "$$\n",
    "\\kappa^{\\rm ave}_{\\rm in}(t) = \\frac{1}{t} \\int_0^t \\kappa_{\\rm in}(t') dt'\n",
    "$$\n",
    "\n",
    "* (b) Similar to (a), but for the out-of-plane thermal conductivity $\\kappa_{\\rm out}(t)$ and $\\kappa^{\\rm ave}_{\\rm out}(t)$.\n",
    "\n",
    "* (c) Cumulative time averaged in-plane, out-of-plane, and total thermal conductivity: $\\kappa^{\\rm ave}_{\\rm in}(t)$, $\\kappa^{\\rm ave}_{\\rm out}(t)$ and $\\kappa^{\\rm ave}_{\\rm total}(t) = \\kappa^{\\rm ave}_{\\rm in}(t) + \\kappa^{\\rm ave}_{\\rm out}(t)$. It is clear that the out-of-plane phonons have a much large average phonon relaxation time (scattering time) than the in-plane phonons, and the thermal conductivity in pristine graphene is dominated by out-of-plane (flexural) phonons. This is consistent with the results from the EMD simulation as discussed in the EMD tutorial.\n",
    "\n",
    "* (d) Some cumulative time averaged thermal conductivity components of the tensor: $\\kappa^{\\rm ave}_{yy}(t)$, $\\kappa^{\\rm ave}_{xy}(t)$ and $\\kappa^{\\rm ave}_{zy}(t)$. It is clear that the off-diagonal components of the thermal conductivity tensor are zero."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot Spectral Heat Current Results\n",
    " - The [shc.out](https://gpumd.zheyongfan.org/index.php/The_shc.out_output_file) output file is loaded and processed to create the following figure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['t', 'Ki', 'Ko', 'nu', 'jwi', 'jwo'])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shc = load_shc(Nc=250, num_omega=1000)['run0']\n",
    "shc.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['t', 'Ki', 'Ko', 'nu', 'jwi', 'jwo', 'kwi', 'kwo', 'kw', 'K'])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "l = gnr.cell.lengths()\n",
    "Lx, Lz = l[0], l[2]\n",
    "V = Lx * Ly * Lz\n",
    "T = 300\n",
    "Fe = 1.0e-5\n",
    "hnemd_spectral_kappa(shc, Fe, T, V)\n",
    "shc['kw'] = shc['kwi'] + shc['kwo']\n",
    "shc['K'] = shc['Ki'] + shc['Ko']\n",
    "Gc = np.load('Gc.npy')\n",
    "shc.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "lambda_i = shc['kw']/Gc\n",
    "length = logspace(1,6,100)\n",
    "k_L = np.zeros_like(length)\n",
    "for i, el in enumerate(length):\n",
    "    k_L[i] = np.trapz(shc['kw']/(1+lambda_i/el), shc['nu'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(12,10))\n",
    "subplot(2,2,1)\n",
    "set_fig_properties([gca()])\n",
    "plot(shc['t'], shc['K']/Ly, linewidth=3)\n",
    "xlim([-0.5, 0.5])\n",
    "gca().set_xticks([-0.5, 0, 0.5])\n",
    "ylim([-1, 5])\n",
    "gca().set_yticks(range(-1,6,1))\n",
    "ylabel('K (eV/ps)')\n",
    "xlabel('Correlation time (ps)')\n",
    "title('(a)')\n",
    "\n",
    "subplot(2,2,2)\n",
    "set_fig_properties([gca()])\n",
    "plot(shc['nu'], shc['kw'],linewidth=3)\n",
    "xlim([0, 50])\n",
    "gca().set_xticks(range(0,51,10))\n",
    "ylim([0, 200])\n",
    "gca().set_yticks(range(0,201,50))\n",
    "ylabel(r'$\\kappa$($\\omega$) (W/m/K/THz)')\n",
    "xlabel(r'$\\nu$ (THz)')\n",
    "title('(b)')\n",
    "\n",
    "subplot(2,2,3)\n",
    "set_fig_properties([gca()])\n",
    "plot(shc['nu'], lambda_i,linewidth=3)\n",
    "xlim([0, 50])\n",
    "gca().set_xticks(range(0,51,10))\n",
    "ylim([0, 6000])\n",
    "gca().set_yticks(range(0,6001,1000))\n",
    "ylabel(r'$\\lambda$($\\omega$) (nm)')\n",
    "xlabel(r'$\\nu$ (THz)')\n",
    "title('(c)')\n",
    "\n",
    "subplot(2,2,4)\n",
    "set_fig_properties([gca()])\n",
    "semilogx(length/1000, k_L,linewidth=3)\n",
    "xlim([1e-2, 1e3])\n",
    "ylim([0, 3000])\n",
    "gca().set_yticks(range(0,3001,500))\n",
    "ylabel(r'$\\kappa$ (W/m/K)')\n",
    "xlabel(r'L ($\\mu$m)')\n",
    "title('(d)')\n",
    "\n",
    "tight_layout()\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**(a)** Virial-velocity correlation function $K(t)$. **(b)** Spectral thermal conductivity $\\kappa(\\omega)$. **(c)** Spectral phonon mean free path $\\lambda(\\omega)$. **(d)** Length-dependent thermal conductivity $\\kappa(L)$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- The above figure shows the results from the HNEMD simulation [[Fan 2019]](https://doi.org/10.1103/PhysRevB.99.064308). \n",
    "  - (a) The virial-velocity correlation function $K(t)$. See [Theoretical formulations](https://gpumd.zheyongfan.org/index.php/Theoretical_formulations) for the definition of this quantity.\n",
    "  - (b) The spectral thermal conductivity $\\kappa(\\omega)$. See [Theoretical formulations](https://gpumd.zheyongfan.org/index.php/Theoretical_formulations) for the definition of this quantity.\n",
    "  - (c) The spectral phonon mean free path calculated as [[Fan 2019]](https://doi.org/10.1103/PhysRevB.99.064308) \n",
    "$$\n",
    "\\lambda(\\omega)=\\kappa(\\omega)/G(\\omega),\n",
    "$$\n",
    "where $G(\\omega)$ is the quasi-ballistic spectral thermal conductance from the above NEMD simulation.\n",
    "  - (d) The length-dependent thermal conductivity calculated as [[Fan 2019]](https://doi.org/10.1103/PhysRevB.99.064308)\n",
    "$$\n",
    "\\kappa(L) = \\int \\frac{d\\omega}{2\\pi} \\frac{\\kappa(\\omega)}{1 + \\lambda(\\omega)/L}.\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4. References\n",
    "- [Fan 2019] Zheyong Fan, Haikuan Dong, Ari Harju, and Tapio Ala-Nissila, [Homogeneous nonequilibrium molecular dynamics method for heat transport and spectral decomposition with many-body potentials](https://doi.org/10.1103/PhysRevB.99.064308), Phys. Rev. B **99**, 064308 (2019).\n",
    "- [Lindsay 2010] L. Lindsay and D.A. Broido, [Optimized Tersoff and Brenner emperical potential parameters for lattice dynamics and phonon thermal transport in carbon nanotubes and graphene](https://doi.org/10.1103/PhysRevB.39.5566), Phys. Rev. B, **81**, 205441 (2010).\n",
    "- [Tersoff 1989] J. Tersoff, [Modeling solid-state chemistry: Interatomic potentials for multicomponent systems](https://doi.org/10.1103/PhysRevB.39.5566), Phys. Rev. B 39, 5566(R) (1989)."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
